For the answer to the question above, since the triangle is isosceles, the two legs have equal length. The coordinates of two vertices are given
P(3,3)
Q(3,1)
Assuming that PQ and QR are the legs of equal length, the distance between Q and R must be the same as the distance between P and Q
d = √[(3-3)² + (3-1)²
d = 2
Therefore, the coordinates of P is
(5,1)
Answer:
Wikipedia defines polynomials as "<em>an expression consisting of variables and coefficients</em>."
You would think that F(x) would not be a polynomial, but you could think of it like this:
F(x) = 0x + 1050
So, yes, I suppose constant terms by themselves are polynomials, it's just that they only have one term and would not really be called a <em>poly</em>-nomial.
You should probably research some more just in case.
Answer:
x=4/3 , x=-5/2
Step-by-step explanation:
6x^2 +7x=20
6x^2+7x-20=0
(3x−4)(2x+5)
3x-4=0 , 2x+5=0
3x=4 , 2x=-5
x=4/3 , x=-5/2
Answer:
The maximum number of songs that the symphonic choir can record is 14
Step-by-step explanation:
Let
x ----> the number of songs of the symphonic choir
we know that
The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes
so
The inequality that represent this situation is

solve for x

subtract 21 both sides

divide by 3.6 both sides

therefore
The maximum number of songs that the symphonic choir can record is 14
Answer:
The balance of account at the end of 36 years is $31,849.29
Step-by-step explanation:
We are given the following in the question:
P = $3,300
r = 6.5% = 0.065
t = 36 years
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.
Since interest is compounded annualy we use n = 1
Thus, balance of account at the end of 36 years is $31,849.29